Long Division

Long division is a method used to divide larger numbers into smaller, more manageable parts, allowing us to find the quotient and remainder.

The quotient is the result of dividing one number by another.

The remainder is the amount left over after division when one number does not divide evenly into another.

Write the dividend (the number being divided) under the long division symbol and the divisor (the number you are dividing by) outside.

Divide the first digit of the dividend by the divisor to find how many times the divisor fits into that digit.

Look at the first digit, 7, and see how many times 5 fits into 7, which is 1 time.

Multiply the divisor by the quotient digit found, subtract the result from the first digit of the dividend, and bring down the next digit.

The quotient is 172 with a remainder of 2.

Divide 49 by 12, which equals 4 with a remainder of 1. You need 5 boxes to hold all cupcakes.

The result is 126.